Prop profile of bi-Hamiltonian structures

Details Prop profile of bi-Hamiltonian structures Prop profile of bi-Hamiltonian structures

2008-04-03

arxiv.org/abs/0804.0596v1

Mathematics

Differential Geometry

37 pages

Scientific paper

Recently S.A. Merkulov established a link between differential geometry and homological algebra by giving descriptions of several differential geometric structures in terms of minimal resolutions of props. In particular he described the prop profile of Poisson geometry. In this paper we define a prop such that representations of its minimal resolution in a vector space V are in a one-to-one correspondence with bi-Hamiltonian structures, i.e. pairs of compatible Poisson structures, on the formal manifold associated to V.

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